You pull a rope oriented at a 37 angle above the horizontal. The other end of th

Question

You pull a rope oriented at a 37 angle above the horizontal. The other end of the rope is attached to the front of the first of two wagons that have the same 24-kg mass. The rope exerts a force of magnitude T1 on the first wagon. The wagons are connected by a second horizontal rope that exerts a force of magnitude T2 on the second wagon. the acceleration of the wagons is 2.0 m/s2.Determine the magnitude of T1. Express your answer to two significant figures and include the appropriate units. The answer is T1= 120N but I cant figure out how. Please show and explain steps!

Explanation / Answer

data given:

mass = 24-kg

acc = 2.0 m/s2

the rope is at 37 degrees to horizontal. so T1 is also at 37 degrees to horizontal.so the force in the horizontal direction is T1 * Cos(37).This results in a acceleration of 2 m/s^2 for the wagons whose total weight is 48 Kg. so T1* cos(37) = m *a = 48*2

the horizontal force = T1 cos (37)

a = 2 m/s^2

so T1 cos(37) = 48 * 2

so T1 = 120.205 N

= 120 N

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